2018 ap statistics free response answers

Scoring. This question is scored in three sections. Section 1 consists of part (a); Section 2 consists of the outlier determination in part (b); Section 3 consists of the boxplot sketch in part (b) and part (c). Each section is scored as essentially correct (E), partially correct (P), or incorrect (I).

2018 ap statistics free response answers. Download free-response questions from this year's exam and past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...

AP® STATISTICS 2017 SCORING GUIDELINES Question 1 (continued) Partially correct (P) if the response includes only two of the three components. Note: If the response identifies the slope as -16.46 (the intercept value), the second component is satisfied only if the response states that for each one-meter increase in length there is a decrease

AP Statistics Practice Exams. AP Statistics Practice Exams Free Response Notes Videos Study Guides. Check out our listing of all the best AP Statistics practice exams. Each of these free online resources includes dozens of AP Stats multiple choice practice questions, and several have free response questions as well. Start your test prep right …Seeking an authoritative source for advertising statistics? Discover the most essential stats you need to know to develop your ad campaigns. Getting visibility for your business to...1. According to the model, 270 people enter the line for the escalator during the time interval 0 ≤ t ≤ 300. 300. t = 300 is 80. = 414.286 (or 414.285) seconds. The number of people in line is a minimum at time t = 33.013 seconds, when there are 4 people in line.Continue your response to QUESTION 3 on this page. (b) Calculate and interpret the expected value for the number of gift cards a particular employee will receive in a 52-week year. Show your work. (c) Suppose that Agatha, an employee at the company, never receives a gift card for an entire 52-week year.AP Statistics Practice Exams. AP Statistics Practice Exams Free Response Notes Videos Study Guides. Check out our listing of all the best AP Statistics practice exams. Each of these free online resources includes dozens of AP Stats multiple choice practice questions, and several have free response questions as well. Start your test prep right …

Question 2. Suggested time— 40 minutes. (This question counts for one-third of the total essay section score.) In 1997, then United States Secretary of State Madeleine Albright gave the commencement speech to the graduating class of Mount Holyoke College, a women’s college in Massachusetts.16 May 2017 ... If you have any questions, feel more than free to comment them below! If this video has helped you, I would greatly appreciate it if you ...This is a PDF package of the official AP Biology 2018 full Exam, complete with all sections including: 1. SECTION I: Multiple Choice (Part A & B) 2. SECTION II: Free Response 3. Answer Key You can obtain full PDF package of the official AP Biology 2018 full exam here. Below is a preview of each sections SECTION I: MULTIPLE CHOICE (PART A & B) SECTION II: FREE RESPONSE Collection of all ...Section II: Free-Response Questions. This is the free-response section of the 2012 AP exam. It includes cover material and other administrative instructions to help familiarize students with the mechanics of the exam. (Note that future exams may differ in look from the following content.) AP® Statistics Exam.I'm in AP Statistics and if you co to collegeboard.com and go to the AP section and click on AP Statistics there are all the free response questions from the previous 10 years AP tests. Wiki User. ∙ 14y ago. ... 2018, there are 33,116,839 answers given by the community (in addition to the millions of answers and topics from Answers.com's ...PHYSICS 1. Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part.

pracite test collegeboard from the 2018 administration ap microeconomics practice exam this exam may not be posted on school or personal websites, nor. ... Free-Response Questions Multiple-Choice Answer Key Free-Response Scoring Guidelines Scoring Worksheet Question Descriptors and Performance Data Note: This publication shows the page numbers ...2018 AP ® MACROECONOMICS FREE-RESPONSE QUESTIONS MACROECONOMICS Section II Total Time—1 hour . Reading Period— 10 minutes . Writing Period— 50 minutes . Directions: You are advised to spend the first 10 minutes reading all of the questions and planning your answers. You will then have 50 minutes to answer all three of the following ...States the numerical value of at least one of the relevant observed or expected counts of successes or failures for one of the two groups. Clearly labels/identifies the count using words (for example, number of meditators who have high blood pressure), symbols with at least one subscript (for example, n p. ˆ.Download free-response questions from this year's exam and past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...calculus 2018 released free response solutions ab/bc 1 ab 2 bc 2 ab/bc 3 ab/bc 4 ab5 bc 5 ab 6 bc 6. back to mr calculus ...Section 1 consists of part (a); section 2 consists of step 1, step 2, and the test statistic in step 3 in part (b); and section 3 consists of the p-value in step 3 and step 4 in part (b). Sections 1, 2, and 3 are each scored essentially correct (E), partially correct (P), or incorrect (I). Section 1 is scored as follows:

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The free-response section is worth 50% of your total AP Statistics score. For each free-response question, you'll receive a score from 0 to 4 depending on the accuracy and completeness of your answer. Your Investigative Task score will be scaled so that it's worth about three times as much as a single short-answer question.AP Statistics 2016 Free-Response Questions.pdf Author: CBURNS Created Date: 5/5/2017 7:42:31 AM ...Includes 5 pages filed with important advice. You will definitely want to review this. AP Statistics | Practice Exams | Free Response | Notes | Videos | Study Guides. All the online resources that you need to prep for the AP Statistics free response questions. Includes previous questions and answers along with FRQ tips.Section II: Free-Response Questions. This is the free-response section of the 2012 AP exam. It includes cover material and other administrative instructions to help familiarize students with the mechanics of the exam. (Note that future exams may differ in look from the following content.) AP® Statistics Exam.CALCULUS BC FREE-RESPONSE QUESTIONS. The graphs of the polar curves r = 4 and r = 3 + 2 cos. p 5p. at q = and q = . 3 3. (a) Let R be the shaded region that is inside the graph of. q are shown in the figure above. The curves intersect. r = 4 and also outside the graph of r = 3 + 2 cos q , as shown in the figure above.

1. Researchers studying a pack of gray wolves in North America collected data on the length x, in meters, from nose to tip of tail, and the weight , in kilograms, of the wolves. A scatterplot of weight versus length revealed. y. relationship between the two variables described as positive, linear, and strong.Antiphospholipid syndrome (APS) is an autoimmune disorder that involves frequent blood clots (thromboses). When you have this condition, your body's immune system makes abnormal pr...Grow food at the school to reduce transportation. Compost food waste to reduce the amount disposed in landfills. Donate leftover food to reduce food waste. Use energy-friendly practices (LED lighting, serve more cold-cut sandwiches, etc.) to decrease energy use. Purchase bulk packaged items to reduce material waste.2018 ap ® statistics free-response questions 5. The following histograms summarize the teaching year for the teachers at two high schools, A and B. Teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.1. Researchers studying a pack of gray wolves in North America collected data on the length x, in meters, from nose to tip of tail, and the weight , in kilograms, of the wolves. A scatterplot of weight versus length revealed. y. relationship between the two variables described as positive, linear, and strong.2018 SCORING GUIDELINES. Apply the question assessment rubric first, which always takes precedence. Penalty points can only be deducted in a part of the question that has earned credit via the question rubric. No part of a question (a, b, c) may have a negative point total. A given penalty can be assessed only once for a question, even if it ...Includes 5 pages filed with important advice. You will definitely want to review this. AP Statistics | Practice Exams | Free Response | Notes | Videos | Study Guides. All the online resources that you need to prep for the AP Statistics free response questions. Includes previous questions and answers along with FRQ tips.Download free-response questions from this year's exam and past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...The College Board has released free-response questions from 1998-2019, as well as 2021 which means you have dozens of official free-response questions to use for your …AP® Statistics Scoring Statistics 2018 Free-Response Questions Question Mean . Standard Deviation Number of Possible Points ; 1 1.63 ... CollegeBoard . Title: AP® Statistics Scoring Statistics 2018 Free-Response Questions Author: College Board Subject: AP; Advanced Placement; Keywords: 2018 AP Scoring Statistics; exam information; scoring ...Practice AP Statistics Exam . Saturday May 12, 2018 . University of Delaware . Section II: Free Response . Name: _____ School: _____ Instructions: 1. No electronic devices except an approved calculator are permitted, including cell phones and

AP® Biology Scoring Statistics 2018 Free-Response Questions. Question. Mean. Standard Deviation. Number of Possible Points. 4.73. 2.42.

Download free-response questions from this year's exam and past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...2018 AP ® WORLD HISTORY FREE-RESPONSE QUESTIONS WORLD HISTORY SECTION I, Part B Time—40 minutes . Directions: Answer Question 1 and Question 2. Answer either Question 3 or Question 4. Write your responses in the Section I, P art B: Short-Answer Response booklet. You must write your response to eachSection II: Free-Response Questions . Multiple-Choice Answer Key . Free-Response Scoring Guidelines . Scoring Worksheet . Question Descriptors and Performance Data. Note: This publication shows the page numbers that appeared in the 2017 − 18 AP Exam Instructions book and in the actual exam. This publication was not repaginated to begin with ...College Board AP Statistics: Past Exams. Concise resources for the AP College Board Statistics course. Questions: Samples and Commentary: Scoring: 2023: Free Response Questions: Sample Responses Q1: ... 2018 Free Response Questions: Sample Responses Q1:The response refers to independence of groups or ads as a required condition. o. The response indicates that a sample size greater than . 30 . ensures normality or the response implies normality as a condition. • A response stating that children are independent can be ignored in the scoring of this component. AP® STATISTICS 2016 SCORING ...AP® Physics 2 Scoring Statistics 2018 Free-Response Questions. Question. Mean. Standard Deviation. Number of Possible Points. 4.60. 2.91.2016 ap statistics free response answers Phoonk movie download 1080p WinRAR v5.64 Final (x86 x64) Key Yvonne Am See.epub Materials Studio For Mac AmmaaKiBoli X64 Registration Pc Free Torrent Keygen Crack Alias Design 2011 Crack Believer's Authority Andrew Wommack 13.pdf Valentina Model Set 23 TorrentAP® Statistics Scoring Statistics 2018 Free-Response Questions. Question. Mean. Standard Deviation. Number of Possible Points. 1.63. 1.13.

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pracite test collegeboard from the 2018 administration ap microeconomics practice exam this exam may not be posted on school or personal websites, nor. ... Free-Response Questions Multiple-Choice Answer Key Free-Response Scoring Guidelines Scoring Worksheet Question Descriptors and Performance Data Note: This publication shows the page numbers ...a population standard deviation of 5mg. (i) Calculate the probability that the sample mean amount of gold applied to a random sample of necklaces. n = 2. will be greater than 303mg. (ii) Suppose Cleo took a random sample of 2 necklaces that resulted in a sample mean amount of gold. n =. applied of 303mg.Every single AP Statistics Past Paper including full papers, multiple choice, free response questions and practice papers from 1997 onwards.1. According to the model, 270 people enter the line for the escalator during the time interval 0 ≤ t ≤ 300. 300. t = 300 is 80. = 414.286 (or 414.285) seconds. The number of people in line is a minimum at time t = 33.013 seconds, when there are 4 people in line.at your answers. You must show your work to receive credit for your answer. Pay attention to significant figures. Na 2 S 2 O 3 (aq) + 4 NaOCl(aq) + 2 NaOH(aq) → 2 Na 2 SO 4 (aq) + 4 NaCl(aq) + H 2 O(l) 2018 AP ® CHEMISTRY FREE-RESPONSE QUESTIONS 1. A student performs an experiment to determine the value of the enthalpy change, D H D …In part (a) the response earned 1 point because the student correctly states that HF "is a weak acid" and that "definately [sic] not all of the HF is split and forms H O + 3 as shown in figure 2." The student then states that "Instead, most don't, as shown in figure 1." In part (b) the response earned 2 points. The response shows theDesign AP Statistics Answers 2019 AP Statistics #3 - FRQ Solution - Released Free Response Question - Probability \u0026 Binomial AP Stats 4.1 - Biased Sampling \u0026 The SRS AP Statistics 2020 Sample FRQ Solved! 2018 AP Statistics FRQ #3 Explained - Free Response Question SolutionAP Statistics 1997 Exam FRQ #3 2015 AP Page 2/11 May, 10 2024 ...An AP Statistics Exam from 2012, previously available only through your AP Course Audit account. Since this exam is now publicly available, you can use the questions without restriction. The 1997 Released Exam, a valuable resource. And for free-response questions from prior exams, along with scoring information, check out the tables below.2019 AP ® US HISTORY FREE-RESPONSE QUESTIONS . Question 3 or 4 . Directions: Answer . either . Question 3 . or . Question 4. 3. Answer (a), (b), and (c). Confine your response to the period from 1607 to 1754. a) Briefly describe one difference between the economy of British North American colonies in the ChesapeakeEvery single AP Statistics Past Paper including full papers, multiple choice, free response questions and practice papers from 1997 onwards.AP Calculus 2018 AB FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 22, 2018 1 Problem 1 1.1 Part a During the time interval 0 t 300, Z 300 0 r(t)dt= 44 Z 300 0 t 100 3 1 t 300 7 dt= 270 (1) people enter the line for the escalator. (Fortunately, the problem is calculator active ... ….

AP® Calculus BC Scoring Statistics 2018 Free-Response Questions. Question. Mean. Standard Deviation. Number of Possible Points. 4.13. 2.24.If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The 2020 free-response questions are available in the AP Classroom question bank. Download free-response questions from past AP Macroeconomics exams ...The AP Stats score calculator will break down your score based on the test's different sections. The AP Statistics exam consists of two sections: a multiple-choice section and a free-response section. The two sections are weighted equally, each of them accounting for 50% of a student's overall score. Likewise, each section lasts the same ...Download free-response questions from this year's exam and past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...Download free-response questions from this year's exam and past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...AP® European History Scoring Statistics 2018 Free-Response Questions Author: College Board Subject: AP; Advanced Placement; Keywords: 2018 AP Scoring Statistics; exam information; scoring information; score data; AP scores; AP data; ADA Created Date: 9/20/2018 11:31:14 AMThe 4-year moving averages for the typhoon data are provided in the table below. For example, the Eastern Pacific 4-year moving average for 2000 is the average of 22, 16, 15, and 21, which is equal to 18.50. Year. Number of Typhoons in the Eastern Pacific. Eastern Pacific 4-year moving average.Because the response includes both components, section 2 was scored as essentially correct. For a conclusion the response correctly compares the p-value to an appropriately chosen alpha level and, although not required, the response states the correct decision for the null hypothesis; therefore, the response satisfies component 2 of section 3.2018 AP ® BIOLOGY FREE-RESPONSE QUESTIONS BIOLOGY Section II Total Time—1 hour and 30 minutes . Reading Period —10 minutes . Writing Period—1 hour and 20 minutes . 8 Questions . Directions: Questions 1 and 2 are long free-response questions that require about 22 minutes each to answer and are worth 10 points each.This video is my attempt at the 2019 AP Statistics Free Response problem #5. You can buy a Normal Distribution Rubber Stamp here: https://amzn.to/2Ek3etd (it... 2018 ap statistics free response answers, AP® Statistics 2002 Free-Response Questions. The materials included in these files are intended for use by AP teachers for course and exam preparation in the classroom; permission for any other use must be sought from the Advanced Placement Program®. Teachers may reproduce them, in whole or in part, in limited quantities, for face-to-face ..., Section II: Free-Response Questions. This is the free-response section of the 2012 AP exam. It includes cover material and other administrative instructions to help familiarize students with the mechanics of the exam. (Note that future exams may differ in look from the following content.) AP® Statistics Exam., The AP Stats score calculator will break down your score based on the test's different sections. The AP Statistics exam consists of two sections: a multiple-choice section and a free-response section. The two sections are weighted equally, each of them accounting for 50% of a student's overall score. Likewise, each section lasts the same ..., Score Distributions. Sample Responses Q1. Sample Responses Q2. Sample Responses Q3. Sample Responses Q4. Sample Responses Q5. Sample Responses Q6. Sample Responses Q7. Download free-response questions from past AP Chemistry exams, along with scoring guidelines, sample responses from exam takers, and scoring distributions., AP® Spanish Literature and Culture Scoring Statistics 2018 Free-Response Questions. * The Standard Group does not include students who hear or speak Spanish at home or who have lived for more than one month in a country where Spanish is the native language. 2018 The College Board., , Looking for information on all things home warranty? Read our guide for stats and facts about this ever-changing facet of the home services industry. Expert Advice On Improving You..., AP ® STATISTICS 2018 SCORING GUIDELINES . Question 2 (continued) Part (c) is scored as follows: Essentially correct (E) if the response gives an answer of 150 in (c-i) and gives an answer of 0.58 (or equivalent) in (c-ii). Partially correct (P) if the response gives an answer of 150 in (c-i) and gives an answer of 0.42 (or equivalent) in (c-ii ..., Read these CRM statistics to grasp why this tool is so popular and learn about its benefits, challenges, and best-ranked features. Sales | Statistics REVIEWED BY: Jess Pingrey Jess..., Download free-response questions from this year's exam and past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ..., Among its widely recognized programs are the SAT®, the PSAT/NMSQT®, the Advanced Placement Program® (AP® ), SpringBoard® and ACCUPLACER®. The College Board is committed to the principles of excellence and equity, and that. commitment is embodied in all of its programs, services, activities and concerns. 2010 The College Board., 2018 AP ® STATISTICS FREE-RESPONSE QUESTIONS Formulas begin on page 3. Questions begin on page 6. Tables begin on page 12. -2-, Note: This is an example of 2020 Question 2, a multi-focus free-response item with allotted time of 15 minutes (plus 5 minutes to submit). Question 1 is a longer multi-focus free-response item, with allotted time of 25 minutes (plus 5 minutes to submit). Students at an agricultural station conducted a study to compare genetically modified (GM ..., My solutions to Free Response Question #5 from the 2018 AP Physics 1 Exam. Also included are my reflections on how to get more points on the exam. This Paragraph Argument Short Answer question also works as a part of the AP Physics C: Mechanics curriculum. Please support me on Patreon! Thank you Josh Williams, Diann Sloan, and …, Unit 9: AP Calculus AB solved free response questions from past exams. About this unit. Watch as Sal solves free response questions from past AP Calculus exams. This is a good preparation for your upcoming exam! AP Calculus AB 2017 free response. Learn. 2017 AP Calculus AB/BC 4a (Opens a modal), 2. Minimal Response. 1. If a response is between two scores (for example, 2 1⁄2 points), use a holistic approach to decide whether to score up or down, depending on the strength of the response and quality of the communication. AP® Statistics 2022 Scoring Commentary., Possible!Solutions,!2015!AP!Statistics!exam!! 6. Tortillas. a. For all tortillas on that day, the second method will not work, because we will get a sample of 200 tortillas coming from a population with a mean of 5.9 or a sample of 200 tortillas coming from a population with a mean of 6.1. But the mean of the population appears to be at/near 6.0., Download free-response questions from this year's exam and past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ..., AP ® STATISTICS 2018 SCORING GUIDELINES . Question 2 (continued) Part (c) is scored as follows: Essentially correct (E) if the response gives an answer of 150 in (c-i) and gives an answer of 0.58 (or equivalent) in (c-ii). Partially correct (P) if the response gives an answer of 150 in (c-i) and gives an answer of 0.42 (or equivalent) in (c-ii ..., 2019 AP Statistics Free Response #1. Corrections for question 1: I misread part c. the bimodal distribution is clear from the histogram, and not the box plot. I answered it in the video the other way. 2019 AP Statistics Free Response #2. 2019 AP Statistics Free Response #3. 2019 AP Statistics Free Response #4., 2022 College Board. 2. A dermatologist will conduct an experiment to investigate the effectiveness of a new drug to treat acne. The dermatologist has recruited 36 pairs of identical twins. Each person in the experiment has acne and each person in the experiment will receive either the new drug or a placebo., Section II: Free-Response Questions . Multiple-Choice Answer Key . Free-Response Scoring Guidelines . Scoring Worksheet . Question Descriptors and Performance Data. Note: This publication shows the page numbers that appeared in the 2017 − 18 AP Exam Instructions book and in the actual exam. This publication was not repaginated to begin with ..., Solution to FrogSimulation, #1 from the 2018 AP CS A Exam Free Response. AP CS A Exam Review /* mrHorn */ AP CS Exam Answers; AP CS Resources; Introductory Resources; AP Computer Science Tutoring. AP CS homework help ... FrogSimulation free response answer 2018., This question covers content from Unit 1: Exploring One-Variable Data of the course framework in the AP Statistics Course and Exam Description. Refer to topic 1.7, and learning objectives UNC-1.I, and UNC-1.K. Sample: 1A Score: 4. The response earned the following: Part (a) - E; Part (b) - E; Part (c) - E., This chapter contains solutions and notes for the free-response questions from the 2004-2024 exams. The free-response questions and grading guidelines for these exams are posted on apstudent.collegeboard.org and, for teachers, on AP Central: For students: apstudent.collegeboard.org exam practice (scrool down to Past Exam Questions) For teachers ..., So, we're gonna have the square root of 0.2 times 0.8 divided by 65 and then close my parentheses. I get, so 0.0496. So, this is approximately 0.0496. Now, the next step is to figure out the p-value which we can then compare to our significance level to decide whether or not to reject the null hypothesis., General Notes About 2018 AP Physics Scoring Guidelines. The solutions contain the most common method of solving the free-response questions and the allocation of points for this solution. Some also contain a common alternate solution. Other methods of solution also receive appropriate credit for correct work., Visit the College Board on the Web: www.collegeboard.org. AP Central is the oficial online home for the AP Program: apcentral.collegeboard.org. 1. 300 (a) ∫ r ( t ) dt = 270. 0. According to the model, 270 people enter the line for the escalator during the time interval 0 ≤ t ≤ 300. (b) 20 + ∫ ( 300 ( 300., The response includes both components; therefore, part (c) was scored as essentially correct. Because three parts were scored as essentially correct, the response earned a score of 4. Sample: 1B Score: 3. In part (a) the response correctly recognizes the value of the intercept, satisfying component 1., This video is my attempt at the 2018 AP Statistics Free Response problem #2. Normal Distribution Rubber Stamp: https://amzn.to/2KFP2vmAP Statistics Practice ..., AP® STATISTICS 2017 SCORING GUIDELINES . Question 1 (continued) Partially correct (P) if the response includes only two of the three components. Note: If . the response identifies the slope as -16.46 (the intercept value), the second component is satisfied only . if . the response states that for each one-meter increase in length there is a ..., Main tools: In-class FRQs for Unit 1, Unit 2, etc... The PDFs for additional practice similar to the in-class FRQs. If you want even more practice : Search for 'AP Statistics Free Response' to find the College Board website past exam page and work any FRQ you want from any previous year's exam (and check answers with their posted solutions)., AP® Statistics 2004 Scoring Guidelines. The materials included in these files are intended for noncommercial use by AP teachers for course and exam preparation; permission for any other use must be sought from the Advanced Placement Program®. Teachers may reproduce them, in whole or in part, in limited quantities, for face-to-face teaching ...